2(6-3x)-3(1+x)=5x

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Solution for 2(6-3x)-3(1+x)=5x equation:


Simplifying
2(6 + -3x) + -3(1 + x) = 5x
(6 * 2 + -3x * 2) + -3(1 + x) = 5x
(12 + -6x) + -3(1 + x) = 5x
12 + -6x + (1 * -3 + x * -3) = 5x
12 + -6x + (-3 + -3x) = 5x

Reorder the terms:
12 + -3 + -6x + -3x = 5x

Combine like terms: 12 + -3 = 9
9 + -6x + -3x = 5x

Combine like terms: -6x + -3x = -9x
9 + -9x = 5x

Solving
9 + -9x = 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
9 + -9x + -5x = 5x + -5x

Combine like terms: -9x + -5x = -14x
9 + -14x = 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -14x = 0

Add '-9' to each side of the equation.
9 + -9 + -14x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -14x = 0 + -9
-14x = 0 + -9

Combine like terms: 0 + -9 = -9
-14x = -9

Divide each side by '-14'.
x = 0.6428571429

Simplifying
x = 0.6428571429

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